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Interaction and Multiscale Mechanics Volume 5, Number 4, December 2012 , pages 385-397 DOI: https://doi.org/10.12989/imm.2012.5.4.385 |
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Dynamic stiffness matrix method for axially moving micro-beam |
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Bashir Movahedian
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| Abstract | ||
| In this paper the dynamic stiffness matrix method was used for the free vibration analysis of axially moving micro beam with constant velocity. The extended Hamilton\'s principle was employed to derive the governing differential equation of the problem using the modified couple stress theory. The dynamic stiffness matrix of the moving micro beam was evaluated using appropriate expressions of the shear force and bending moment according to the Euler-Bernoulli beam theory. The effects of the beam size and axial velocity on the dynamic characteristic of the moving beam were investigated. The natural frequencies and critical velocity of the axially moving micro beam were also computed for two different end conditions. | ||
| Key Words | ||
| dynamic stiffness matrix method; free vibration; axially moving micro-beam; modified couple stress theory. | ||
| Address | ||
| Bashir Movahedian: Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran | ||
